Is there a book or lecture notes on Percolation Theory containing exercises?

968 Views Asked by At

I have seen Grimmett's Percolation Theory and I have also seen a few online lecture notes. But they don't have exercises.

I understand it is stupid to ask of exercises in such a recent and hot research topic, which is not yet well-developed, but I want to do a formal course on the subject and therefore need some exercises.

Can you please direct me to the right direction?

Thanks!

2

There are 2 best solutions below

0
On BEST ANSWER

If you are looking for a modern account, i would advise Duminil-Copin: https://www.unige.ch/~duminil/teaching/percolation/polycopie.pdf. It's in french but the exercises are very good. Also Ariel Yadin: https://www.math.bgu.ac.il/~yadina/percolation.pdf exercises are also very good. Both of them are from the same school of thoughts. A book is dealing with a more abstract setting and has become a Bible (for me), soon to be published at CUP: http://mypage.iu.edu/~rdlyons/prbtree/prbtree.html The Bollobas/Riordan is also a standard reference in percolation, with good exercises.

1
On

Stauffer, Dietrich; Aharony, Anthony (1994), Introduction to Percolation Theory (2nd ed.), CRC Press, ISBN 978-0-7484-0253-3

I used this for my thesis and it is pretty good.